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“…A slow transient was simulated using Godunov numerical scheme to solve the model equations in the paper [26]. The results proved that including the inertia term in the momentum equation makes the model more realistic.…”

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“…A slow transient was simulated using Godunov numerical scheme to solve the model equations in the paper [26]. The results proved that including the inertia term in the momentum equation makes the model more realistic.…”

“…Finally, Usman et al redesigned the Weymouth equation as follows: with y being a correction factor for changes in diameter and f being the Weymouth friction factor. This equation applies to a horizontal pipe only.…”

“…Some of these programs even allow for the use of any or most of the above listed approximate pipeline equations. On the other hand, some new methods include modifications of existing flow equations such as in the work of Morssy et al, Falade et al, and Usman et al . From these, Morssy et al use a methodology that has a software package, which allows adding, modifying, and upgrading flow equations (Panhandle A, Panhandle B, AGA, Weymouth, etc.).…”